There are three laws which apply and protect any individual in the UK who has been unlawfully doxed and identified.
- The Data Protection Act
- The Protection From Harrasement Act
- The Computer Misuse Act
In order to legally identify any person online you must have a court order issued to the isp of the person signed by a judge.You can not use services online to obtain information held on a person without the persons permission hence The Data Protection Act.
Also just because a persons information is public doesnt mean others can redistribute it without your consent especially for nefarious purposes example to get you harmed,or harrased or to lose your job,damage your reputation.
The Computer Misuse Act also applies to doxing when an individual uses there computer for nefarious purposes ie doxing which is considered harrasement and falls undr TPFHA The Protection from Harrasement Act.
Just because a person is in another country doesnt mean these laws dont protect you they do if you are a UK citizen and the person targetting you is in another county as the data would be of a UK person protected by these laws which law enforcement and online services must enforce these laws as it would be a criminal matter.